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量子非马尔可夫环境到系统的信息回流:非操作方法与操作方法

Quantum Non-Markovian Environment-to-System Backflows of Information: Nonoperational vs. Operational Approaches.

作者信息

Budini Adrián A

机构信息

Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Centro Atómico Bariloche, Avenida E. Bustillo Km 9.5, Bariloche 8400, Argentina.

Universidad Tecnológica Nacional (UTN-FRBA), Fanny Newbery 111, Bariloche 8400, Argentina.

出版信息

Entropy (Basel). 2022 May 5;24(5):649. doi: 10.3390/e24050649.

DOI:10.3390/e24050649
PMID:35626534
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9140462/
Abstract

Quantum memory effects can be qualitatively understood as a consequence of an environment-to-system backflow of information. Here, we analyze and compare how this concept is interpreted and implemented in different approaches to quantum non-Markovianity. We study a nonoperational approach, defined by the distinguishability between two system states characterized by different initial conditions, and an operational approach, which is defined by the correlation between different outcomes associated to successive measurement processes performed over the system of interest. The differences, limitations, and vantages of each approach are characterized in detail by considering diverse system-environment models and dynamics. As a specific example, we study a non-Markovian depolarizing map induced by the interaction of the system of interest with an environment characterized by incoherent and coherent self-dynamics.

摘要

量子记忆效应可以定性地理解为信息从环境回流到系统的结果。在这里,我们分析并比较了这个概念在不同的量子非马尔可夫性方法中是如何被解释和实现的。我们研究了一种非操作性方法,它由具有不同初始条件的两个系统状态之间的可区分性定义,以及一种操作性方法,它由与在感兴趣的系统上执行的连续测量过程相关的不同结果之间的相关性定义。通过考虑不同的系统 - 环境模型和动力学,详细刻画了每种方法的差异、局限性和优势。作为一个具体例子,我们研究了由感兴趣的系统与具有非相干和相干自动力学的环境相互作用引起的非马尔可夫去极化映射。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7f71/9140462/4de745fa5ce6/entropy-24-00649-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7f71/9140462/509ab51d5c08/entropy-24-00649-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7f71/9140462/4de745fa5ce6/entropy-24-00649-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7f71/9140462/509ab51d5c08/entropy-24-00649-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7f71/9140462/4de745fa5ce6/entropy-24-00649-g002.jpg

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本文引用的文献

1
Entropic Bounds on Information Backflow.信息回流的熵界
Phys Rev Lett. 2021 Jul 16;127(3):030401. doi: 10.1103/PhysRevLett.127.030401.
2
Non-Markovianity of a Central Spin Interacting with a Lipkin-Meshkov-Glick Bath via a Conditional Past-Future Correlation.通过条件过去-未来关联与Lipkin-Meshkov-Glick热库相互作用的中心自旋的非马尔可夫性
Entropy (Basel). 2020 Aug 15;22(8):895. doi: 10.3390/e22080895.
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Exploiting the Causal Tensor Network Structure of Quantum Processes to Efficiently Simulate Non-Markovian Path Integrals.
利用量子过程的因果张量网络结构高效模拟非马尔可夫路径积分。
Phys Rev Lett. 2019 Dec 13;123(24):240602. doi: 10.1103/PhysRevLett.123.240602.
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Quantum Markov Order.量子马尔可夫阶数。
Phys Rev Lett. 2019 Apr 12;122(14):140401. doi: 10.1103/PhysRevLett.122.140401.
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Quantum Non-Markovian Processes Break Conditional Past-Future Independence.量子非马尔可夫过程打破条件过去-未来独立性。
Phys Rev Lett. 2018 Dec 14;121(24):240401. doi: 10.1103/PhysRevLett.121.240401.
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Operational Markov Condition for Quantum Processes.量子过程的运算马尔可夫条件。
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Simulating Open Quantum Systems with Hamiltonian Ensembles and the Nonclassicality of the Dynamics.用哈密顿量系综模拟开放量子系统及动力学的非经典性
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